A little long post but very interesting insights.
https://ibb.co/nzJS6NZThe link contains the drawing of a 6 feet man with ideal proportions. You can see his various measurements with mm precision.
Now, I want to point out the most interesting measurements for someone considering LL.
1. The distance from sternal notch to relaxed navel.
2. The distance from relaxed navel to ground.
3. The distance from sternal notch to lower end of buttocks.
4. The distance from floor to lower end of buttocks.
For an ideal 6 feet man, those stats are:
1. The distance from sternal notch to relaxed navel - 38.1 cm
2. The distance from relaxed navel to ground - 113 cm
3. The distance from sternal notch to lower end of buttocks - 61 cm
4. The distance from floor to lower end of buttocks - 90.1 cm
The distance from floor to lower end of buttocks is actual leg length (without ankle length). So, 90.1 / 182.88 = 0.4926, closer to ideal leg-to-body ratio.
Also, navel height is 113 cm so when multiplied by 1.618 (golden ratio) it's exactly 182.88 cm.
The distance from relaxed navel height to end of buttocks is 113 - 90.1 = 22.9 cm.
When the relaxed humerus is bent, elbow tip should be at navel level. In this case, the distance from relaxed navel to sternal notch is 38.1 cm and humerus length is 38.2 cm, basically the same.
His head is 22.86 cm tall and the distance from top of head to sternal notch is 182.88 - 151.1 = 31.78 cm.
We can calculate his neck length if we subtract his head length from his total height and then subtract his sternal notch height: 182.88 - 22.86 - 151.1 = 8.92 cm.
We can assume that his total body height without head length is the sum of sternal notch height and neck length which is: 151.1 + 8.92 = 160.02 cm.
His eye level is half of head length: 22.86 / 2 = 11.43 cm. This means that the distance from ground to his eye level is 171.45 cm long.
The most important ratios are:
The ratio of relaxed navel height to the distance from relaxed navel to sternal notch: 113 / 38.1 = 2.9658.
My relaxed navel height is 100 cm and the distance from relaxed navel to sternal notch is 38 cm (in the morning). 100 / 38 = 2.6315. If we assume that the distance from relaxed navel to sternal notch compresses due to spinal shrinkage by about 2 cm at night, then the ratio becomes: 100 / 36 = 2.7777.
As you can see, the perfectly proportioned 6 feet man has the same distance from sternal notch to relaxed navel but 13 cm longer distance from ground to relaxed navel.
Now, remember the distance from relaxed navel to lower end of buttocks? It's 22.9 cm. If we subtract that number from my relaxed navel height of 100, we get: 100 - 22.9 = 77.1 cm. It's very close to my leg length in total, down to mm precision. Thus, my leg-to-body ratio is: 77.1 / 165 = 0.4673.
As you can see, the total leg length of the perfectly proportioned 6 feet man is 90.1 cm while mine is 77.1 cm. Exactly 13 cm difference, which translates to navel height difference 1:1 (Mine is 100 cm and his is 113 cm).
So, to break down the height difference of me (165 cm guy) and perfectly proportioned 6 feet man in body parts:
1. Total leg length and relaxed navel height differences: 90.1 cm vs 77.1 cm and 113 cm vs 100 cm. Exactly 13 cm difference.
2. From sternal notch to relaxed navel: 38.1 cm vs 38 cm. No difference whatsoever. But, we have to assume that my night time value drops by 2 cm at 36 cm due to spinal shrinkage, so 2 cm difference is plausible from this body ratio.
3. Neck length: It's calculated from the distance of sternal notch to chin level. In case of perfectly proportioned 6 feet man it is the following: 182.88 - 151.1 = 31.78 cm. This is the distance from sternal notch to top of his head. Now, we have to subtract his head length: 31.78 - 22.86 = 8.92 cm. This is his neck length.
Now, this is the most interesting. The distance from ground to my relaxed navel is 100 cm and the distance from my relaxed navel to sternal notch is 38 cm (36 cm at night). So, the distance from ground to my sternal notch is 138 cm in the morning and 136 cm at night. The distance from ground to sternal notch of the perfectly proportioned 6 feet guy is 151.1 cm. So, our body height difference (shoulder height) is 13.1 cm in the morning and 15.1 cm at night (13 cm comes from leg length difference, so basically all of the body height difference lies in leg length).
Now, we have to calculate my distance from sternal notch to top of head. 167 - 138 or 165 - 136 (morning and night heights) = 29 cm.
Now, my head length is no less than 23 cm and no more than 24 cm. So, my neck length from sternal notch to chin level is: 29 - 23-24 = no less than 5 and no more than 6 cm.
As you can see, I lose about 3-4 cm of height from neck length compared to perfectly proportioned 6 feet guy (8.92 cm neck length). If our body height difference is just 13.1-15.1 cm (at shoulder level), depending on the time of day, our total height difference is 15.88-17.88 cm depending on the time of day.
So, the difference is 2.78 cm from sternal notch to top of head between me and perfectly proportioned 6 feet guy. If my head length is 23 cm, then he has 2.92 cm longer neck and if my head length is 24 cm, he has 3.92 cm longer neck. All in all, his distance from sternal notch to top of the head is 31.78 cm and mine is 29 cm according to my total height measurement. In total, the difference is 2.78 cm which is significant.
Now, the most important factor when determining the height difference between the two subjects is their eye level. In case of perfectly proportioned 6 feet man, his eye level is half of his head length at 11.43 cm. My eye level is at least 11.5 cm and no more than 12 cm. If a perfectly proportioned 6 feet man is looking at 171.45 cm when he stands erect with 90 degrees head position, I look at 153-153.5 cm at night and 155-155.5 cm in the morning. The difference is: 171.45 - 155 or 155.5 = 16.45 cm or 16.95 cm in the morning and 171.45 - 153 or 153.5 = 18.45 cm or 18.95 cm at night.
As you can see, if I stood in front of perfectly proportioned 6 feet guy at night, his eye level would be at best 18.45 cm or at worst 18.95 cm higher than mine. While our shoulder level difference at sternal notch would be 15 cm only. It means that he gets additional 3.45 cm or 3.95 cm eye level height from neck length alone. 3.45-3.95 cm range is very significant height difference.
Now, the main thing: in order to get the same ratio from ground to relaxed navel to relaxed navel to sternal notch as the perfectly proportioned 6 feet man, I should lengthen my legs with the following in mind:
His ratio of relaxed navel height to the distance of relaxed navel to sternal notch: 113 / 38.1 = 2.9658.
My ratio of the same body measurements: Morning: 100 / 38 = 2.6315; Night: 100 / 36 = 2.7778.
His leg-to-body ratio: 90.1 / 182.88 = 0.4926.
My leg-to-body ratio: 77.1 / 165 = 0.4673.
His leg ratio to his trunk (from lower buttocks to floor): 90.1 / 61 = 1.4770
My leg ratio to my trunk (from lower buttocks to floor): Morning: 77.1 / 61 = 1.2639; Night: 77.1 / 59 = 1.3068.
Leg to trunk ratio is the most important ratio for LL. As you can see, the perfectly proportioned 6 feet man has the distance from floor to lower buttocks of 90.1 cm. If we subtract this number from his sternal notch height: 151.1 - 90.1 = 61 cm. If we add to this number the distance from his sternal notch to top of his head: 61 + 31.78 = 92.78 cm. This is his sitting height.
Now, my measurements for the following: the distance from sternal notch to lower buttocks at night: 59 cm. Sternal notch height at night: 136 cm. Leg length: 136 - 59 = 77 cm. Distance from sternal notch to top of head: 165 - 136 = 29 cm. Sitting height: 165 - 77 = 88 cm.
Now, we have to distinguish the sitting height at top of the head level to sitting height at shoulder level as it's very imporant. As you can see, the perfectly proportioned 6 feet man has a sitting height of 92.78 cm while I at 165 cm have 88 cm (night sitting height). The difference is significant at almost 5 cm BUT (big BUT), my neck length is shorter by about 3-4 cm compared to perfectly proportioned 6 feet man. My distance from sternal notch to top of the head is 29 cm while his is 31.78 cm. 2.78 cm higher.
What matters is sitting shoulder height and not total sitting height. In this case, my sitting shoulder height is 165 - leg length - the distance from sternal notch to top of the head: 165 - 77 - 29 = 59 cm (night sitting height at shoulder level, morning would be 61 cm). The perfectly proportioned 6 feet man has the following: 182.88 - 90.1 - 31.78 = 61 cm.
As you can see, my sitting height at shoulder level is the same in the morning and just 2 cm lower at night.
But, again, the most important factor when evaluating others height is eye level. In this case, the perfectly proportioned 6 feet man has an eye level when sitting at: his eye level when standing - his leg length: 171.45 - 90.1 = 81.35 cm. My eye level when sitting: 153-153.5 - 77 or 155-155.5 - 77 (night and morning values) = 76-76.5 cm at night and 78-78.5 cm in the morning.
Perfectly proportioned 6 feet man has: 81.35 - 76-76.5 = 5.35-5.85 cm higher eye level when sitting at night while my shoulder level is just 2 cm lower than his.
That's why true leg-to-body ratio is not leg length divided by total body height but leg length divided by trunk length as someone might have long neck and long head which might account up to 5 cm height difference from sternal notch to top of the head.
Now, in order to get the same true leg-to-body ratio as perfectly proportioned 6 feet man at night time, I have to lengthen:
Leg length to trunk length ratio of perfectly proportioned 6 feet man: 90.1 / 61 = 1.4770
The distance from ground to relaxed navel to relaxed navel to sternal notch ratio of perfectly proportioned 6 feet man: 113 / 38.1 = 2.9658.
My leg length to trunk length ratio at night: 77 / 59 = 1.3051.
My ratio from ground to relaxed navel to relaxed navel to sternal notch at night: 100 / 36 = 2.7778.
Now, to get the same ratios of the perfectly proportioned 6 feet man:
Leg to trunk length ratio at night: x / 59 = 1.4770. x = 1.4770 x 59 = 87.13 cm. So, I have to lengthen 10 cm in total to get the same leg to trunk length ratio at night time height.
Ratio from ground to relaxed navel to relaxed navel to sternal notch at night: x / 36 = 2.9658. x = 2.9658 x 36 = 106.77 cm. In this case, I have to lengthen about 12 cm in total to get the same ratio as perfectly proportioned 6 feet man.
Now, navel height is variable as well as neck length so we have to lengthen based on first ratio which is total leg length (tiba + femur length) divided by trunk length. Trunk length is total height - distance from sternal notch to top of head - total leg length - outer ankle height (this is on average 7.5-8.0 cm). In my case: 165 - 29 - 77 - 8 = 51 cm (at night). In case of perfectly proportioned 6 feet man: 182.88 - 31.78 - 90.1 - 8 = 53 cm.
Leg-to-body ratio for perfectly proportioned 6 feet man with 53 cm trunk: 90.1 / 53 = 1.7.
My ratio at night time: 77 / 51 = 1.5098.
In order to get 1.7 ratio: x / 51 = 1.7. x = 1.7 x 51 = 86.7 cm.
86.7 - 77 ~ 10 cm. So, I have to lengthen 10 cm in total to get the same leg to trunk length ratio as perfectly proportioned 6 feet man.
If we calculate for morning height: 77 / 53 = 1.4528.
In order to get 1.7 ratio: x / 53 = 1.7. x = 1.7 x 53 = 90.1 cm.
90.1 - 77 ~ 13 cm. So, if I lengthen based on morning height trunk value, I have to lengthen 13 cm in total to get the 1.7 ratio as the perfectly proportioned 6 feet man.
But, morning height is irrelevant as the spine compresses relatively quickly by 1 cm and then goes down by 2 cm so I have to lengthen based on night time trunk height of 51 cm, so 10 cm total leg lengthening.
Now, this is interesting: As my trunk length is just 2 cm shorter at night time compared to perfectly proportioned 6 feet man, my humerus at elbow level is exactly 5 cm higher than my navel when I bend my elbow with relaxed humerus. The perfectly proportioned 6 feet man has his bent humerus at elbow level in parallel to his navel level which is 38 cm from sternal notch. Basically, I have 33 cm humerus so in the morning, my humerus when bent at elbow level is 5 cm higher than my navel and at night it's 3 cm higher.
As you can see, perfectly proportioned 6 feet man has 5 cm longer humerus bone than me and 2.8 cm longer hands (including fingers). This gives him 7.8 cm arm length advantage compared to me, so in total almost 16 cm armspan advantage at the same trunk length in the morning.
So, while my armspan is about 166-167 cm at 165 cm night height with the same trunk length as perfectly proportioned 6 feet man, I have exactly 13 cm shorter legs compared to him. There's no point in not lengthening by about 10-11 cm in total and worry about arm length as my arm and trunk lengths will remain the same, just my leg to trunk ratio will normalize to perfection. My arms will still hang the same way relative to my torso and pelvis so there's no point in worrying about that.
The most important thing is to get the perfect leg to trunk ratio, which is 1.7. Anything above that will create slenderman effect and will be unattractive nked.
I think that 11 cm is optimal for me. 6.5 cm femur and 4.5 cm tibia. It's a pity that I have very short neck and lose about 3-4 cm from that. With this sternal notch height of 136-138 cm (night and morning) my night and morning heights should be at least 167-169 cm if not 168-170 cm. So, at least 2 or 3 cm higher.
But, the most important thing is sternal notch height which is your body height in general. In this case perfectly proportioned 6 feet man is 13 cm taller than me in the morning and 15 cm taller at night (18 cm at night height difference due to longer neck). His sternal notch level is 151.1 cm and mine is 136 cm at night. If I lengthen 11 cm, my sternal notch height will become 147 cm, just 4.1 cm lower than perfectly proportioned 6 feet man. Basically, body height difference will be minimized down to 4 cm and that's what matters for a man, to have a relatively large body at shoulder level.